PSG are rumoured to have lined up Allan as a potential replacement for Adrien Rabiot, after his impressive displays in Serie A during the first half of the 2018-19 campaign .
The Napoli boss spoke to the media after the game to address Allan's links to PSG, who are reportedly considering an €80 million (£72m/$92m) bid, claiming there is no substance to any of the rumours currently circulating.
"They have nothing, Allan is our player," Ancelotti stated. "We don’t need to discuss anything with the president, because there are no big moves on the horizon.
"I hope the transfer window closes soon so we can all focus on our football.
“I have never been concerned about losing Allan, because he had a fantastic first half of the season and we hope he’ll do even better for us going forward.”
Ancelotti went on to express his excitement ahead of that double-bill against his former club, adding: "The next one will be complicated, but very exciting.
"We'll play two in three days against Milan, it will be a special time for me."
The ex-Milan head coach must first turn his attention to Lazio though, who are due to arrive at the San Paolo Stadium on Sunday.